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Isaac, Paul
- On the Intuitionistic Fuzzy Normed Linear Space (ℝn,A)
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Authors
Paul Isaac
1,
K. Maya
2
Affiliations
1 Department of Mathematics, Bharata Mata College, Thrikkakara, Kochi-682 021, Kerala, IN
2 Department of Mathematics, St. Paul’s College, Kalamassery, Kochi-683 503, Kerala, IN
1 Department of Mathematics, Bharata Mata College, Thrikkakara, Kochi-682 021, Kerala, IN
2 Department of Mathematics, St. Paul’s College, Kalamassery, Kochi-683 503, Kerala, IN
Source
International Journal of Fuzzy Mathematics and Systems, Vol 2, No 2 (2012), Pagination: 95-110Abstract
This article is a study of the intuitionistic fuzzy normed linear space (ℝn,A). The convergence of sequences in the (ℝn,A) is studied and its relation with the convergence in (ℝ,B) is investigated. Also it studies about the Cauchy sequences in (ℝn,A) and their properties. A few results are proved in this context.
AMS subject classification: 03E72, 03F55, 26E50.
Keywords
Fuzzy Set, Fuzzy Norm, Intuitionistic Fuzzy Set, Intuitionistic Fuzzy Norm, Intuitionistic Fuzzy Normed Linear Space (IFNLS)References
- K.T. Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20:87–96, 1986.
- George J. Klir andTinaA. Folger, Fuzzy sets, Uncertainty, and Information, Prentice-Hall, Inc., Upper Saddle River, NJ, 1987.
- Vijayabalaji S., Thillaigovindan N., and Jun Y.B., Intuitionistic fuzzy n-normed linear space, Bull. Korean Math. Soc., 44:291–308, 2007.
- T.K. Samanta and Iqbal H. Jebril, Finite dimensional intuitionistic fuzzy normed linear spaces, Int. Jl. Open Problems Compt. Math., 2(4):574–591, 2009.
- L.A. Zadeh, Fuzzy sets, Inform. Control, 8:338–353, 1965.